This paper studies fault-tolerant operation of multipole single-phase switched reluctance generators (SRG’s), in particular, an 8/8-pole switched reluctance machine. The multipole single-phase SRG system is advantageous for reduced cost and higher efficiency compared to polyphase equivalents. However, using the classical phase-leg topology, a phase fault may prevent generating operation complet...

In a maximally decimated filter bank with identical decimation ratios for all channels, the perfect reconstructibility property and the nature of reconstruction filters (causality, stability, FIR property, and so on) depend on the properties of the polyphase matrix. Various properties and capabilities of the filter bank depend on the properties of the polyphase matrix as well as the nature of i...

Abstract: Antenna array-based multi-dimensional infinite-impulse response (IIR) digital beamformers are employed in a multitude of radio frequency (RF) applications ranging from electronically-scanned radar, radio telescopes, long-range detection and target tracking. A method to design 3D IIR beam filters using 2D IIR beam filters is described. A cascaded 2D IIR beam filter architecture is prop...

The DC and Nyquist responses of the filters in a two-channel perfect reconstruction filter bank are expressed in terms of the lifting filters in a lifting decomposition. The computation makes use of the cascade-form representation of lifting steps as lowerand upper-triangular factor matrices in the polyphase-with-advance representation. A functional relationship is derived connecting the DC and...

In this paper, IIR polyphase filters present several interesting properties: they require a very small number of multipliers to implement, they are inherently stable and have low round off noise sensitivity and no limit cycles. Furthermore, it is possible to achieve almost linear phase designs. Pulse shaping filters have been designed and implemented by using Raised cosine filter, Nyquist filte...

The Golay complementary sequences have been studied for more than five decades since Golay first discovered those sequences. However, few studies on the correlation function of transformation form of q-ary complementary sequences. New notions of equivalent transformation on q-ary sequences and equivalent transformation pair of a q-ary sequence and its complex polyphase form are put forward. A t...

This work presents a scalable Discrete Wavelet Transform architecture based on the B-spline factorization. In particular, we show that several wavelet filters of practical interest have a common structure in the distributed part of their B-spline factorization. This common structure is effectively exploited to achieve scalability and to save multipliers compared with a direct polyphase B-spline...

We present a parametrization of discrete finite biorthogonal wavelets with linear phase. Our approach is similar to Zou and Tewfik’s for orthogonal wavelets in the way that we utilize a lattice factorization of polyphase matrices of twochannel PR filter banks. However in the biorthogonal case we are faced with the additional possibilitiy of having length differences between the lowand high-pass...

In this paper, we present a structure for implementing the polyphase filters of biorthogonal modulated filter banks that automatically guarantees perfect reconstruction of the filter bank and furthermore allows to specifiy the values of the filters’ frequency responses at certain frequencies. Thus, modulated filter banks without DC leakage can be designed. The new stucture is based on lifting s...